Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13070898 | C2 | semidirect |
| 5. #13066675 | C2 | semidirect |
| 6. #13066672 | C2 | semidirect |
| 7. C11×#1372 | C2 | semidirect |
| 65. C11×C16 | SD16 | semidirect |
| 71. #1372 | D11 | semidirect |
| 167. C16 | #4314 | semidirect |
| 168. C11 | #12453 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070898 | 2 |
| C16×D44 | 2 |
| #13068016 | 2 |
| #13068006 | 2 |
| #13066675 | 2 |
| #13066672 | 2 |
| C11×#1372 | 2 |
| #12453 | 11 |